Radio waves travel at the speed of light, which is 3.00 ✕ 108 m/s. What is the wavelength for a FM station broadcasting at 97.9 MHz (the prefix M is "mega" and means 106)?
freq*wavelength=speedwave
To find the wavelength of the FM station broadcasting at 97.9 MHz, we can use the formula:
Wavelength = Speed of Light / Frequency
The speed of light is given as 3.00 × 10^8 m/s and the frequency is 97.9 MHz (mega-hertz), which means 97.9 × 10^6 Hz.
Now we can substitute these values into the formula:
Wavelength = (3.00 × 10^8 m/s) / (97.9 × 10^6 Hz)
First, let's simplify the units:
Wavelength = (3.00 × 10^8 m/s) / (97.9 × 10^6 Hz)
= (3.00 / 97.9) × (10^8 / 10^6) m
Next, let's simplify the fraction:
Wavelength = 0.0307 × 10^2 m
= 3.07 m
So, the wavelength for a FM station broadcasting at 97.9 MHz is 3.07 meters.